Bibliographic record and links to related information available from the Library of Congress catalog.
Note: Electronic data is machine generated. May be incomplete or contain other coding.
1 Mathematical Aspects of Wave Scattering. 1 1.1 The Equations of Acoustic and Electromagnetic Waves. . 2 1.2 Solution of the Helmholtz Equation: Separation of Variables. 19 1.3 Fields of Elementary Sources. Green's Functions ....... 28 1.4 Representations of Incident Electromagnetic Waves. .... 37 1.5 Formulation of Wave Scattering Theory for Structures with Edges. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 47 1.6 Single- or Double-Layer Surface Potentials and Dual Series Equations. . . . . . . . . . .. .. . .. . . .. . . . . . . . . 55 1.7 A Survey of Methods for Scattering. . ........... 62 2 Acoustic Diffraction from a Circular Hole in a Thin Spher- ical Shell. 65 2.1 Plane Wave Diffraction from a Soft or Hard Spherical Cap. 67 2.2 Rigorous Theory of the Spherical Helmholtz Resonator. . . 79 2.3 Quasi-Eigenoscillations: Spectrum of the Open Spherical Shell. 84 2.4 Total and Sonar Cross-Sections. ................ 90 2.4.1 Rayleigh Scattering. .................. 93 2.4.2 Resonance Region. ................... 98 2.4.3 High Frequency Regime. ................ 101 2.5 The Mechanical Force Factor. . ................ 107 2.6 The Focal Region of a Spherical Reflector Antenna ...... 112 2.7 The Transmitting Spherical Reflector Antenna ....... 123 2.7.1 Complex Point Source. ................. 124 2.7.2 Regularised Solution and Far-Field Characteristics. . 125 2.7.3 Numerical Results. .......... . ..... . 128 3 Acoustic Diffraction from Various Spherical Cavities. 135 3.1 The Hard Spherical Barrel and Soft Slotted Spherical Shell. 136 3.2 The Soft Spherical Barrel and Hard Slotted Spherical Shell. 142 3.3 Helmholtz Resonators: Barrelled or Slotted Spherical Shells. 148 3.4 Quasi-Eigenoscillations of the Spherical Cavity ........ 156 3.5 Total and Sonar Cross-Sections; Mechanical Force Factor. . 163 4 Electromagnetic Diffraction from a Metallic Spherical Cav- ity. 181 4.1 Electric or Magnetic Dipole Excitation. ........... 182 4.1.1 The Vertical Electric Dipole (TM Case) ........ 184 4.1.2 The Vertical Magnetic Dipole (TE Case) ...... 194 4.2 Plane Wave Diffraction from a Circular Hole in a Thin Metal- lic Sphere. ............................ 201 4.3 Reflectivity of Open Spherical Shells. ............. 215 4.4 The Focal Region of a Receiving Spherical Reflector Antenna.220 4.5 The Transmitting Spherical Reflector Antenna ........ 225 4.5.1 The Complex-Point Huygens Source: Debye Potentials.226 4.5.2 Excitation of the Reflector by a CPHS. ....... 232 4.5.3 Numerical Results ................... 236 5 Electromagnetic Diffraction from Various Spherical Cavi- ties. 243 5.1 EM Plane Wave Scattering by Two Concentric Spherical Shells. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 244 5.2 Dipole Excitation of a Slotted Sphere. ............ 255 5.2.1 The Vertical Electric Dipole. ............. 256 5.2.2 The Vertical Magnetic Dipole ............. 263 5.3 Dipole Excitation of Doubly-Connected Spherical Shells. . . 266 5.4 Plane Wave Diffraction: Perfectly Conducting Slotted Spher- ical Shell. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 269 5.5 Magnetic Dipole Excitation of an Open Spherical Resonator. 284 5.6 Open Resonators Composed of Spherical and Disc Mirrors. 288 6 Spherical Cavities with Spherical Dielectric Inclusions. 297 6.1 Resonant Cavity Heating of a Small Lossy Dielectric Sphere. 298 6.2 Reflectivity of a Partially Screened Dielectric Sphere..... 308 6.3 The Luneberg Lens Reflector. ................. 320 7 Diffraction from Spheroidal Cavities. 335 7.1 Regularisation in Spheroidal Coordinates. .......... 338 7.2 Acoustic Scattering by a Rigid Spheroidal Shell with a Cir- cular Hole .................. . ......... 341 7.3 Rigorous Theory of the Spheroidal Helmholtz Resonator. . 347 7.4 Axial Electric Dipole Excitation of a Metallic Spheroidal Cavity .. ... . .. . . .. .. . . .. . .. . . . . . . . . . 349 7.5 Axial Magnetic Dipole Excitation of a Metallic Spheroidal Cavity .... ........................... 361 7.6 Axial Electric Dipole Excitation of a Spheroidal Barrel. . 367 7.6.1 The Series Equations with Odd Index Coefficients. .371 7.6.2 The Series Equations with Even Index Coefficients.. 373 7.6.3 Numerical Results. ................... 374 7.7 Impedance Loading of the Spheroidal Barrel. . ....... 379 7.8 Spheroid Embedded in a Spheroidal Cavity with Two Holes. 386 8 Wave Scattering Problems for Selected Structures. 401 8.1 Plane Wave Diffraction from Infinitely Long Strips. ..... 402 8.2 Axially Slotted Infinitely Long Circular Cylinders. ..... 413 8.3 Axially Slotted Cylinders of Arbitrary Profile ......... 424 8.4 Diffraction from Circular Discs. ................ 434 8.5 Diffraction from Elliptic Plates. ................ 444 8.6 Wave Scattering Problems for Hollow Finite Cylinders. ... 455 8.7 Wave Scattering Problems for Periodic Structures. ..... 469 8.7.1 Periodic Linear Array of Strips. ............ 469 8.7.2 Periodic Linear Array of Hollow Finite Cylinders. . 475 8.8 Shielded Microstrip Lines. ................... 478